Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10226801 | Physica A: Statistical Mechanics and its Applications | 2019 | 7 Pages |
Abstract
The contributions given in this article are mainly in two folds with regard to the fractional Gaussian noise of the Weyl type. The first one is to present a complete form of fGn, which is taken as the output of a fractional-order filter driven by white noise. The second is to propose the analytic expressions of the impulse response function and the frequency transfer function of that fractional-order filter. We also give an expression of the fractional Brownian motion of the Weyl type as a consequence of the present fGn. Besides, we suggest that the statistical dependences of fGn may be described based on the frequency transfer function or the impulse response function of the fractional-order filter.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ming Li, Xichao Sun, Xi Xiao,